This is my question for homework. "You and some friends took a metal detector to the beach every day for a week to search for coins. You managed to find 246 nickels, 312 dimes, and 204 quarters. When you divided them up, you realized that each person got the same exact amount of each coin with no coins remaining. How many are in your group? How many nickels did each person receive? How many dimes did each person receive? How many quarters did each person receive? " Thanks, Brainly your the best!!

Answers

Answer 1

Answer:

The data is:

Number of nickels = 246

Number of dimes = 312

Number of quarters = 204.

Now, in your group there are N people.

Dividing the coins into N people, you find that each one received the same amount of each type of coin. Then the quotient between each number of coins and N must be a whole number.

Now, you can see that the 3 numbers are even, so we know that N must be even.

For example, if N = 2, we could divide the 3 numbers of coins and get an integer in each case, but this is worded as "You and some friends" so N must be larger than 2.

Try with the next even integer:

N = 4.

nickels: 246/4 = 61.5

61.5 is not an integer: Then N can not be 4.

The next even number is N = 6.

nickels: 246/6 = 41

dimes: 312/6 = 52

quarters: 204/6 = 34

In each case we have integers, this means that 6 divides the 3 numbers of coins, so each person can receive the same amount of coins.

The we can conclude with:

There are 6 persons in the group.

Each person gets 41 nickels, 52 dimes and 34 quarters.


Related Questions

There are 2 different maps of California. The scale on the first map is 1cm to 20km. The distance from Fresno to San Francisco is 15km. The scale on the second map is 1 cm to 100 km. What is the distance from Fresno to San Francisco on the second map?

Answers

Answer:

75 km

Step-by-step explanation:

Given the following :

Scale on first map = 1cm to 20 km

Distance fromFresno to San Francisco = 15km on first map

Scale on 2nd map = 1cm to 100 km

1cm / 20km = 15km

Let of Distance from Fresno to San Francisco on 2nd map = d

1cm / 100km = d

1 : 20 = 15

1 : 100 = d

20/ 100 = 15/d

1/5 = 15/d

d = 15 * 5

d = 75 km

Solve the system using elimination.
X + 7y = 25
2x - 7y = -13

Answers

Answer:

[tex](4;3)[/tex]

Step-by-step explanation:

Add the two equations together

[tex]I+II: x+7y+2x-7y=25-13 \rightarrow 3x=12\rightarrow x =4[/tex]

At this point i'd rather replace x=4 in the first equation to get [tex]4+7y=25 \rightarrow 7y=21 \rightarrow y=3[/tex]

To keep eliminating you multiply the first by 2 and subtract the second

[tex]2\times I -II: 2x+14y-2x-(-7y)=50-(-13)\rightarrow 21y=63 \rightarrow y=3[/tex]

Place the following ratios from least to greatest.
E 3:1
2:1
1:1
E 1:2

Answers

Answer:

1:3

1:2

1:1

2:1 it may helps you

What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?

Answers

Answer

5

Step-by-step explanation:

if you replace the 55 with a 9 you get 5

Use each of the digits 0, 1, 2, 3, 4 exactly once to make the largest number that is less than 30,000.

Answers

Answer:

The answer is

24,3210

Can someone help me with this if you can?? thank you! <3​

Answers

Answer:

4680 dollars

Step-by-step explanation:

Hello, I'd love to help you!
We know that:

-Original price is 7200 dollars

-Manuel only paid for 65% of it

   -> think of it this way: think of the overall price as a pie; Manuel only ate              65% of it

To calculate how much Manuel paid, we can multiply 7200 times 0.65 (percentage in decimal form), which equals 4680 dollars.

He payed $4680. To find this you would multiply the original price times .65

What is the product of 3.78×109 and 7.35×105 ?

Answers

Answer:

y=3.78

Step-by-step explanation:

Answer:

3.78

Step-by-step explanation:


HELP ASAP PLEASE
The graph below represents a linear function. Which of the following best represents the equation
of the line shown?
answer choices shown in picture

Answers

D

if u use deductive reasoning you'll know. so u know looking at the line it's a positive slope cause the line is going up and u know the y intercept is positve 1 so u know it will be +1 knowing this and going through the answer choices D is the only one that fits that!

The correct explanation of the graph is;

y = 3/2 x + 1

Option D is true.

What is Equation of line?

The equation of line with slope m and y intercept at point b is given as;

y = mx + b

Given that;

The graph is shown in figure.

Two points on the graph are (2, 4) and (4, 7).

Now, Take two points on graph and find the slope of the graph as,

Two points on the graph are (2, 4) and (4, 7).

Hence, Slope of graph = (7 - 4) / (4 - 2)

                                   = 3/2

Thus, Slope of graph is 3/2.

Since the slope of graph is same as slope of equation.

Hence, In option D;

The equation is given as;

y = 3/2 x + 1

Slope of equation is find as differentiate with respect to x,

Slope of equation is;

dy/dx = m = 3/2

So, The correct explanation of the graph is;

y = 3/2 x + 1

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6. Name the relationship between the indicated pairs of angles. Ex. alternate interior angles,
same side interior angles, corresponding angles, vertical angles, or supplementary angles,
(10.9 Meeting)
a. 21 and 23
5
b. 22 and 27
62
C. 28 and 23
73
84
d. 26 and 27

Answers

Step-by-step explanation:

hmmm.

the picture tries to tell me that the 2 more or less horizontal lines are not parallel.

yet the answer options seem to indicate that they are parallel. otherwise none of the answer options make any sense.

so, assuming the 2 lines are meant to be parallel :

1 and 3 : corresponding angles.

2 and 7 : alternate interior angles.

8 and 3 : vertical angles.

6 and 7 : supplementary angles.

If f(x) = x to the 2nd power+ 2x - 10, what is f(-2)?

Answers

Answer:

Step-by-step explanation:

f(-2)= x^2+2x-10= (-2)^2+2(-2)-10= 4-4-10= 0-10 = -10

A non-zero whole number is represented by x. Select the statement that is true about x and – x.



Their difference is zero.


Their quotient is zero.


Their product is zero.


Their sum is zero.

Answers

The Correct answer is D because when you have 2 non value numbers and you go off the subtraction it is a sum

Answer:

D. Their Sum is Zero

Step-by-step explanation:

If C = pi d, what is C if d = 6?


( help asap? ) pointssss!

Answers

Hey there!

C=πd

Where

C=Circumference

π=pi (3.14...)

d=diameter

So all we have to do is plug in the value of d and multiply π times 6:

C=π×6

C≈18.84 in

≈ means approximately equal to.

Hope everything is clear.

Let me know if you have any queries; if you do, kindly comment below my answer. :)

#LearningDoesn'tEnd

[tex]\rule{200}{2}[/tex]

The rock has fallen how many feet?

Answers

Answer:

we can't see please zoom in.

Step-by-step explanation:

uhhh not sure to be honest

Carlos rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 86 cents for each mile driven. Carlos had to pay $201.45 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer: 211 miles

Step-by-step explanation: An equation for this could be:

base fee + additional charge (miles driven) = total charge

19.99 + 0.86(x) = 201.45

0.86(x) = 201.45 - 19.99

0.86(x) = 181.46

x = [tex]\frac{181.46}{0.86}[/tex] = 211 miles

Tom travels along the M1 from Leicester to London which is a distance
of 143 miles.
10
He sets off at 8:25 and gets there at 10:15.
Did he break the 70mph speed limit of the M1?

Answers

Tom did not break the 70mph speed limit of M1.

What is speed?

Speed can be defined as the rate of change of distance. The S.I unit of speed is m/s.

To know if Tom breaks the speed limit of the M1, we must first calculate Tom's speed and compare it to M1's speed limit.

Using the formula below,

s = d/t............... Equation 1

Where:

s = Tom's speedd = distance from Leicester to Londont = time taken to travel from Leicester to London

From the question,

Given:

d = 143 milest = 8:25 to 10:15 = 2 hours 10 munites = (2+10/60) = (2+0.17)t = 2.17 hours.

Substitute these values into equation 1

s = 143/2.17s = 65.899 mph.

Hence, Since Tom's speed is less than the M1 speed limit, Tom did not break the 70mph speed limit of M1.

Learn more about speed here: https://brainly.com/question/4931057

The wholesale price for a bookcase is $105. A certain furniture store marks up the wholesale price by 28% Find the price of the bookcase in the furniture store.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$134.40

Step-by-step explanation:

The markup is 28% of 105, or .28(105) = $29.40

Thus the retail price is $105 + $29.40 = $134.40

The price of the bookcase in the furniture store, after a 28% markup on the wholesale price, is $134.40.

To find the price of the bookcase in the furniture store after a 28% markup on the wholesale price, we need to add the markup amount to the wholesale price.

The markup amount is calculated by multiplying the wholesale price by the markup percentage (expressed as a decimal). In this case, the markup percentage is 28%, which is equivalent to 0.28 as a decimal.

Markup amount = Wholesale price * Markup percentage

Markup amount = $105 * 0.28

Markup amount = $29.40

Now, to find the price of the bookcase in the furniture store, we add the markup amount to the wholesale price:

Price in the furniture store = Wholesale price + Markup amount

Price in the furniture store = $105 + $29.40

Price in the furniture store = $134.40

To learn more about price/percentage click on,

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HELP PLEASE I NEED THIS NOW WILL GET BRAINLIEST!!

(06.01 MC)
What is the value of the expression shown below?

8 + (7 + 1) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4 (5 points)

9
24
7
21

Answers

Answer:

9

Step-by-step explanation:

PEMDAS ✨✨

8 + (8)2 / 4 (1)

8 + 4/4 (1)

8 + 1

9

(8+(7+1)^2÷4.1/2)^4(8+8^2÷4/2)^4(72÷4/2)^4(18/2)^49^4


If f(x) = x+2/x^2-9 and g(x) =11/x^2+3x

(A) fine f(x) +g(x)
(B) list all of the excluded values
(C) classify each type of discontinuity

Answers

Answer:

Most likely c

Step-by-step explanation:

I am joking, I actually don't know. sorry bud

Factor 7(y - 6) - 9y(y - 6)

Answers

Answer:

hope you have understood

19 less than a number is the same as the sum of half the number and six. What is the number?

Answers

Answer:

x - 19 = 1/2x + 6

Step-by-step explanation:

x-19=1/2x+6

50-19= 31

50/ 1/2 = 25 + 6 = 31

what is rotation....

Answers

A rotation is a circular movement of an object around a center of rotation. A three-dimensional object can always be rotated about an infinite number of imaginary lines called rotation axes. If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin.

so for what type of girl did you give brainlist

your answer is what????

Answers

Answer:

4 Hours and 32 minutes

Step-by-step explanation:

Let's first find the amount between 9:15 to 2:17

The difference between 9:00 and 2: 00 is 5 Hours

Now the minutes ->  17-15 = 2

Thus, the difference is 5 Hour and 2 Minutes

Then She took a 30 minutes break for lunch.

Let's convent all to minutes:

1 Hour = 60

Then 60  x 5  = 300

Plus the 2 minutes is

302

Now 302 minutes - 30 minutes = 272 minutes

Now convent back to Hour

Thus, 272/60 =4 with a remainder of 32.

Hence, it took stephanie 4 hour and 32 minutes to finish her SOL test.

~Lenvy

If X^2= 200 then what is X?

THIS IS IMPOSSIBLE!!!!!!!!!!!!!!!

Answers

Answer:

X is about 14.1

Step-by-step explanation:

Hi!

In order to solve this problem, we just have to take the square root of both sides:

x²=200

x times itself should equal 200.

And the answer is

x≈14.1

In case you didn't know:

≈ means "approximately equal to"

Hence, the answer is

[tex]\boxed{\boxed{\bold{x=14.1...}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please use the comment section.

#LearningDoesn'tEnd

#LearningIsFun

what is the domain of this function?​

Answers

Answer:

B

Step-by-step explanation:

Domain is basically x. The left side is connecting with the right side (y).

this is why the domain is B

Hope this helps!

B is the answer to “what is the domain of this function”

Cameron earns four times as much as a tutor than a fast food worker. His sister only has one job because she earns one and a half times as much as a tutor than Cameron. Her weekly wage is $250 more than Cameron. How much does Cameron earn as a tutor?

Answers

Answer:

$500 per week.

Step-by-step explanation:

Let Cameron earns $x as a tutor.

As his sister earns one and a half times as much as a tutor, so, his sister earns $1.5x.

Since the weekly wage of Cameron's sister is $250 more than Cameron, so

[tex]1.5x=x+250[/tex]

[tex]\Rightarrow 1.5x-x=250[/tex]

[tex]\Rightarrow 0.5x=250[/tex]

[tex]\Rightarrow x=500.[/tex]

Hence, the weekly earning of Cameron is $500.

Solve the equation and enter the value of x below.
8x + (-7) = -55

Answers

Answer:

x = -6

Step-by-step explanation:

Add seven to both sides and divide by eight.

8x = -48

x = -6

Hey there!

Let's solve this equation!

Step 1:

[tex]\bold{8x+(-7)=-55}[/tex]

[tex]\bold{8x-7=-55}[/tex]

Step 2:

[tex]\bold{8x-7+7=-55+7}[/tex]

[tex]\bold{8x=-48}[/tex]

Step 3:

[tex]\bold{x=-6}}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{x=-6}}}[/tex]

Hope everything is clear.

Let me know if you have any questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

WHAT DIS IZ MAN!! I NEED HELP BEEN FAILING DIS LADY CLASS SINCE 8 GRADE!!!

Answers

Answer:

no ,yes yes I think.

Step-by-step explanation:

What is the equation of (1,1) and (-1,5) in slope intercept form

Answers

Answer:

y = -2x + 3

Step-by-step explanation:

Another way to solve a direct variation equation is by setting up a proportion. O True O False​

Answers

Answer:

true

Step-by-step explanation:

Another way to solve a direct variation equation is by setting up a proportion.

Approximately how many times as large is the world lotterys grand prize as charlottlea annual salary?

Answers

The answer is A

6000000000/30000
=600000/3
=200000
=2 x 10^5
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